\begin{frame} \frametitle{Group Example} Group example: \smallskip \begin{block}{} \begin{center} $\begin{array}{lcl} e\cdot x&=&x\\ I(x)\cdot x&=&e\\ (x\cdot y)\cdot z &=& x\cdot (y\cdot z) \end{array}$ \end{center} \end{block} \bigskip\bigskip\pause First we give these equations a `sensible' orientation: \smallskip \begin{block}{} \begin{center} $\begin{array}{llcl} (1)&e\cdot x&\to&x\\ (2)&I(x)\cdot x&\to&e\\ (3)&(x\cdot y)\cdot z &\to& x\cdot (y\cdot z) \end{array}$ \end{center} \end{block} \end{frame}